I have An Elven Long Bow [6x960] (+10)
The 103 bonus comes almost exclusively from my ToA, and is about right (aprox 49 mil NW ToA, so 16.3 mil NW into the plus of an ELB).

However, I'm really confused about this "base to-hit" value quoted here, 100.
Not only that, but it appears that the ACTUAL results are consistent with a barely above 200% total chance to hit.

Why am I saying that ?
Because I had repeatedly attacked "Greneral Grievous" (solo char, Jigorokano familiar, ALL of his XP thrown into Steel Skin) to drain his score fast (he made an announcement not so long ago), and most of the time, I only hit his main character twice, even if I have a MAJOR DX advantage too (3.5 mil vs 20, no evasion) and an equivalent +103 on the weapon.

I thought I should be able to easily hit him 3 times, maybe even occasionally a 4th time.
Or am I completely wrong ?
And if I am, can somebody please explain exactly why ?

Base CTH is just the number associated with your weapon. Your dex CTH is calculated using this number, but it is not equivalent to this number. The cap for dex CTH is 100 + base, which for ELBs is 200. Thus, your Hal should have a max CTH of 200 + 206 = 406, which is a guaranteed quad with 6% of quints.

He had only max-XP Steel Skin trained at that time, everything else was at base.

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<a href="/bboard/q-and-a-fetch-msg.tcl?msg_id=002TYN">Confused about new "(base) to-Hit" stat ; ELB bug?</a>